Problem:
Find the area of the region bounded by the graphs of
f(x) = sin(x)
and
g(x) = cos(x)
.
Visualization:
Using
Microcalc
:
Choose
Beginning Calculus
from the initial menu and press
.
Use the arrow keys to move to the menu item
Area
, press
and
.
At the prompt
F(x) =
, enter the formula
sin(x)
and, at the prompt
G(x) =
, enter the formula
cos(x)
Enter the bounds at the prompts
x_0 =
0
x_1 =
ã
You can enter pi by pressing
at the same time.
Enter the bounds at the prompts
y_0 =
0
y_1 =
1
You will see the following graphs and the areas between them.
If you press
then you will see:
Algebraic area = 2.00000 000 Geometric area = 2.82842 713